Number
Calculate:
-7 + 15 - 10
-2
Simplify:
6a + 4 - 3a + 2a - 7
5a - 3
Write the ratio 8:12 in its simplest form.
2:3
A triangle has a base of 8cm and a perpendicular height of 6cm. Work out the area of the triangle.
24cm2
Find the mean from the list:
8, 10, 4, 9, 6, 6, 6
Work out:
3/4 + 2/5
Give your answer as a mixed number.
1 3/20
Work out the value of:
2x2 + 3x - 5
when x = 2.
9
£15, £21
A cuboid is 4cm high, 3cm wide and 9cm deep.
Work out the volume of the cuboid.
108cm3
The heights of 10 students are recorded in a stem-and-leaf diagram:
14|5 8
15|2 5 5 6 7
16|0 3 4
Key: 14|5= 145cm
Calculate the range of the students' heights.
19cm
Calculate:
6 + 18 ÷ √9 x (4 - 2)2
30
Expand and simplify:
4(3x - 5)
12x - 20
The ratio of boys to girls in a year group is 3:5.
There are 24 boys in the year group.
How many girls are there in the year group?
40
The longest side of a right-angled triangle is 13cm.
The shortest side of the triangle is 5cm.
Work out the length of the other side of the triangle.
12cm
A bag contains 6 red, 9 blue and 5 green counters.
A counter is chosen at random.
What is the probability the counter chosen is red?
Give your answer as a decimal.
0.3
Write 0.375 as both a percentage and a fraction in its simplest form.
37.5% and 3/8
Factorise:
36x + 42
6(6x + 7)
y is directly proportional to x.
When x = 4, y = 10.
Work out the value of y when x = 10.
25
A cuboid is 4cm high, 3cm wide and 9cm deep.
Work out the surface area of the cuboid.
A spinner is spun 40 times.
It lands on red 14 times.
Estimate the probability of the spinner landing on red.
Give your answer as a fraction in its simplest form.
7/20
Calculate:
(3 x 105) x (4 x 102)
Give your answer in standard form.
1.2 x 108
Solve the equation:
7(x - 1) = 2(x + 9)
x = 5
A recipe uses flour and sugar in the ratio 5:2.
If the recipe uses 3/4 kg of flour, how much sugar is needed?
Give your answer in grams.
300g
A right-angled triangle has a 30° angle.
The side opposite the 30° angle is 6cm.
Work out the length of the hypotenuse.
12cm
Two counters are taken out of the bag.
Calculate the probability that both counters are red.
Give your answer as a fraction in its simplest form.
2/15